The closest vector problem in tensored root lattices of type A and in their duals
نویسندگان
چکیده
منابع مشابه
The closest vector problem in tensored root lattices of type A and in their duals
In this work we consider the closest vector problem (CVP) —a problem also known as maximum-likelihood decoding— in the tensor of two root lattices of type A (Am⊗An), as well as in their duals (Am⊗An). This problem is mainly motivated by lattice based cryptography, where the cyclotomic rings Z[ζc] (resp. its co-different Z[ζc]) play a central role, and turn out to be isomorphic as lattices to te...
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The closest vector problem for general lattices is NP-hard. However, we can efficiently find the closest lattice points for some special lattices, such as root lattices (An, Dn and some En). In this paper, we discuss the closest vector problem on more general lattices than root lattices.
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2017
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-017-0332-x